class MeshOptimizer {
public:
    bool optimize(MeshData& mesh) {
        bool improved = false;
        double initialQuality = evaluateOverallQuality(mesh);
        
        // 拉普拉斯平滑
        for(int iter = 0; iter < maxIterations; ++iter) {
            if(!smoothNodes(mesh))
                break;
                
            double currentQuality = evaluateOverallQuality(mesh);
            if(std::abs(currentQuality - initialQuality) < convergenceTol)
                break;
                
            initialQuality = currentQuality;
            improved = true;
        }
        
        return improved;
    }

private:
    // 节点平滑
    bool smoothNodes(MeshData& mesh) {
        std::vector<Vertex> newPositions = mesh.vertices;
        
        // 对每个节点进行拉普拉斯平滑
        for(size_t i = 0; i < mesh.vertices.size(); ++i) {
            if(mesh.vertices[i].connectedVertices.empty())
                continue;
                
            // 计算相邻节点的平均位置
            double sumX = 0, sumY = 0, sumZ = 0;
            for(int neighborIdx : mesh.vertices[i].connectedVertices) {
                sumX += mesh.vertices[neighborIdx].x;
                sumY += mesh.vertices[neighborIdx].y;
                sumZ += mesh.vertices[neighborIdx].z;
            }
            
            int numNeighbors = mesh.vertices[i].connectedVertices.size();
            newPositions[i].x = sumX / numNeighbors;
            newPositions[i].y = sumY / numNeighbors;
            newPositions[i].z = sumZ / numNeighbors;
        }
        
        // 检查新位置是否导致网格质量改善
        if(evaluateOverallQuality(newPositions) > evaluateOverallQuality(mesh.vertices)) {
            mesh.vertices = newPositions;
            return true;
        }
        
        return false;
    }
    
    // 评估整体质量
    double evaluateOverallQuality(const MeshData& mesh) {
        double totalQuality = 0.0;
        for(const auto& element : mesh.elements) {
            totalQuality += MeshQuality::calculateElementQuality(element, mesh.vertices);
        }
        return totalQuality / mesh.elements.size();
    }
    
    const int maxIterations = 100;
    const double convergenceTol = 1e-6;
}; 